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Finding the Fourth Proportional to 716.61, 988.58 and 422.01

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Solution

The fourth proportional to 716.61, 988.58 and 422.01 is: 582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.61 : 988.58 = 422.01 : x
  2. Step 2: Convert to fraction form
    716.61/988.58 = 422.01/x
  3. Step 3: Cross multiply
    716.61x = 988.58 × 422.01
  4. Step 4: Simplify right side
    716.61x = 417,188.54
  5. Step 5: Solve for x
    x = 417,188.54/716.61
  6. Step 6: Final answer
    x = 582.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.